16553280516000 has 384 divisors, whose sum is σ = 56271345242112. Its totient is φ = 4250816640000.

The previous prime is 16553280515969. The next prime is 16553280516001. The reversal of 16553280516000 is 61508235561.

It is a happy number.

It is a super-2 number, since 2×16553280516000² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (16553280516001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36410085 + ... + 36861915.

It is an arithmetic number, because the mean of its divisors is an integer number (146539961568).

Almost surely, 2^{16553280516000} is an apocalyptic number.

16553280516000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16553280516000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28135672621056).

16553280516000 is an abundant number, since it is smaller than the sum of its proper divisors (39718064726112).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

16553280516000 is a wasteful number, since it uses less digits than its factorization.

16553280516000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451973 (or 451955 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 42.

The spelling of 16553280516000 in words is "sixteen trillion, five hundred fifty-three billion, two hundred eighty million, five hundred sixteen thousand".